A van der Waals fluid is expanded isothermally inside a piston-cylinder from an initial volume to a final
volume. Refer to p.221 and Table 6.4-1 of text for the vdW equation of state and its parameters.
(a) Derive an expression for ∆U in terms of its initial and final molar volumes.
(b) Derive an expression for ∆S in terms of its initial and final molar volumes.
(c) Assuming hydrogen gas is a vdw fluid, calculate the amount of work and heat in compressing 100
mol of hydrogen in a frictionless piston-cylinder from 1 to 0.01 m3 at 400 K?